Pith Number

pith:AKTQ3V5C

pith:2026:AKTQ3V5CSLQCQGH7U4TNU2JLPI

not attested not anchored not stored refs pending

Pancyclicity of graphs perturbed by a random $F$-factor

Dingjia Mao, Feihong Yuan, Wenling Zhou

arxiv:2606.02160 v1 · 2026-06-01 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKTQ3V5CSLQCQGH7U4TNU2JLPI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-02T02:05:08.114965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02a70dd7a292e02818ffa726da692b7a08793886e2e2de5e6da87d0b2fc0ebe5

Aliases

arxiv: 2606.02160 · arxiv_version: 2606.02160v1 · doi: 10.48550/arxiv.2606.02160 · pith_short_12: AKTQ3V5CSLQC · pith_short_16: AKTQ3V5CSLQCQGH7 · pith_short_8: AKTQ3V5C

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AKTQ3V5CSLQCQGH7U4TNU2JLPI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 02a70dd7a292e02818ffa726da692b7a08793886e2e2de5e6da87d0b2fc0ebe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c80a8b2992faae8d10fda5df88b2f30c3d92efa183c5381cf9b58463fad8cfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T12:23:41Z",
    "title_canon_sha256": "14d91244d47c85c727059c02ec800c9f83ccbc8e991325e5c43f302496683816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02160",
    "kind": "arxiv",
    "version": 1
  }
}